9164160 has 192 divisors, whose sum is σ = 33256080. Its totient is φ = 2322432.

The previous prime is 9164147. The next prime is 9164167. The reversal of 9164160 is 614619.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9164167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213099 + ... + 213141.

Almost surely, 2^9164160 is an apocalyptic number.

9164160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628040).

9164160 is an abundant number, since it is smaller than the sum of its proper divisors (24091920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9164160 is a wasteful number, since it uses less digits than its factorization.

9164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9164160 is about 3027.2363634180. The cubic root of 9164160 is about 209.2654609320.

Adding to 9164160 its reverse (614619), we get a palindrome (9778779).

The spelling of 9164160 in words is "nine million, one hundred sixty-four thousand, one hundred sixty".